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Finding the Fourth Proportional to 2,017.68, 3,028.96 and 1,201.20

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Solution

The fourth proportional to 2,017.68, 3,028.96 and 1,201.20 is: 1,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.68 : 3,028.96 = 1,201.20 : x
  2. Step 2: Convert to fraction form
    2,017.68/3,028.96 = 1,201.20/x
  3. Step 3: Cross multiply
    2,017.68x = 3,028.96 × 1,201.20
  4. Step 4: Simplify right side
    2,017.68x = 3,638,386.75
  5. Step 5: Solve for x
    x = 3,638,386.75/2,017.68
  6. Step 6: Final answer
    x = 1,803.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.